In: Math
Hypothesis: Anti-smoking television PSAs reduces cigarette smoking.
Study design: 500 Individuals were randomly assigned to watch a PSA about wearing seat belts (control group) and 532 individuals were randomly assigned to watch a PSA about the dangers of smoking (treatment group). A week after the study, the same individuals were asked to complete a survey. In the control group, 102 people reported smoking cigarettes in the previous week and in the treatment group, 85 people reported smoking cigarettes in the previous week. (15 points)
Determine the appropriate test: z-test or t-test. Explain why you chose that test.
Calculate the appropriate test statistic
Decide whether you should reject the null hypothesis.
Here we need to compare two independent proportions so z test for independent proportions will be sued.
That is z test will should be used.
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Conclusion: There is evidence to conclude that anti-smoking television PSAs reduces cigarette smoking.